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guajiro [1.7K]
3 years ago
10

If two sets are disjoint, then what region represents the union of their complements in a Venn diagram?

Mathematics
1 answer:
Anastasy [175]3 years ago
5 0
Let A and B be disjoint, the complement of A is everything not in A and the complement of B is everything not in B. The union of the two is therefore everything that is not in A or everything that is not in B, so it must be the entire universe.
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Answer:

The equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form is \mathbf{y=-4x-3}

Step-by-step explanation:

Equation of line passing through the points (-7,25) and (-4,13) in slope-intercept form.

The general equation of slope-intercept form is: y=mx+b

First we need to find slope

The formula used for finding slope is: Slope=\frac{y_2-y_1}{x_2-x_1}

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y=mx+b\\25=-4(-7)+b\\25=28+b\\b=25-28\\b=-3

So, y-intercept b =-3

Now, the equation of required line having slope m=-4 and  y-intercept b=-3 is:

y=mx+b\\y=-4x-3

So, the equation of the line passing through the points (-7,25) and (-4,13) in slope-intercept form is \mathbf{y=-4x-3}

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